A nonlinear regression model with Lyapunov exponent (Guastell, 2002) was introduced to test whether the targeted KB communities were undergoing a chaotic expansion corresponding to a positive Lyapunov exponent, were gravitating toward to a stable state (fixed-point attractor) in the end corresponding to a negative Lyapunov exponent, or were showing a kind of oscillated progression over time.
R-sq. =.37, p<.000